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arXiv · 1010.2416

Jordan and Schoenflies in non-metrical analysis situs

Alexandre Gabard·David Gauld
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Abstract

We show that both, the Jordan curve theorem and the Schoenflies theorem extend to non-metric manifolds (at least in the two-dimensional context), and conclude by some dynamical applications \`a la Poincar\'e-Bendixson.

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Alexandre Gabard, David Gauld. 2010-10-12. Jordan and Schoenflies in non-metrical analysis situs. https://arxiv.org/abs/1010.2416

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